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Finding the Fourth Proportional to 5,827.86, 8,734.49 and 4,590.38

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Solution

The fourth proportional to 5,827.86, 8,734.49 and 4,590.38 is: 6,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.86 : 8,734.49 = 4,590.38 : x
  2. Step 2: Convert to fraction form
    5,827.86/8,734.49 = 4,590.38/x
  3. Step 3: Cross multiply
    5,827.86x = 8,734.49 × 4,590.38
  4. Step 4: Simplify right side
    5,827.86x = 40,094,561.58
  5. Step 5: Solve for x
    x = 40,094,561.58/5,827.86
  6. Step 6: Final answer
    x = 6,879.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.